Results 31 to 40 of about 1,455 (175)

Joins of $\sigma$-subnormal subgroups

, 2023
Let $\sigma=\{\sigma_j\,:\, j\in J\}$ be a partition of the set $\mathbb{P}$ of all prime numbers. A subgroup $X$ of a finite group $G$ is~\textit{$\sigma$-subnormal} in $G$ if there exists a chain of subgroups $$X=X_0\leq X_1\leq\ldots\leq X_n=G$$ such that, for each $1\leq i\leq n-1$, $X_{i-1}\trianglelefteq X_i$ or $X_i/(X_{i-1})_{X_i}$ is a ...
Ferrara, Maria, Trombetti, Marco
openaire   +2 more sources

On numbers which are orders of nilpotent groups with bounded class [PDF]

International Journal of Group Theory
Let $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$.
Maria Ferrara
doaj   +1 more source

Groups with conjugacy classes of coprime sizes

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina, A. Maróti, E. Pacifici, C. Parker, K. Rekvényi, J. Saunders, V. Sotomayor, G. Tracey, M. van Beek   +8 more
wiley   +1 more source

On certain subgroups of a join of subnormal subgroups [PDF]

Glasgow Mathematical Journal, 1984
1. Introduction: Suppose the group G is generated by subnormal subgroups H and K, and that A, B are normal subgroups of finite index in H, Krespectively. The following question has been asked by J. C. Lennox: Under what circumstances is the subgroupJ = (A, B) subnormal in G? In particular, it is of interest to know when J has finite index in G, for, if
openaire   +1 more source

Visual acuity outcomes up to 12 years and risk factors for visual impairment in a national cohort of extremely preterm born children – The Extremely Preterm Infants in Sweden Study (EXPRESS)

Acta Ophthalmologica, Volume 104, Issue 1, Page 65-74, February 2026.
Abstract Purpose The Extremely Preterm Infants in Sweden Study (EXPRESS) followed a national cohort of extremely preterm born (EPT, i.e. <27 weeks) children until 12 years of age. This study aimed to investigate the longitudinal development of visual acuity (VA) in children born EPT, explore the predictive value of early visual assessments, and ...
Despoina Tsamadou, Karin Källén, Abbas Al‐Hawasi, Ann Hellström, Gerd Holmström, Fatima Pedrosa‐Domellöf, Kristina Tornqvist, Ulrika Kjellström, Lisa B. Thorell, Lena Hellström‐Westas, Andreas Ohlin, Ulrika Ådén, Kerstin Hellgren   +12 more
wiley   +1 more source

Groups with finitely many normalizers of non-subnormal subgroups

Le Matematiche, 2007
It is proved that a group G has finitely many normalizers of non-subnormal subgroups if and only if each subgroup of G either is subnormal or has finitely many conjugates; groups with this latter property have been completely described in [8].
Fausto De Mari, Francesco De Giovanni
doaj  

Exponential and weakly exponential subgroups of finite groups [PDF]

International Journal of Group Theory
Sabatini [L. Sabatini, Products of subgroups, subnormality, and relative orders of elements, Ars Math. Contemp., 24 no. 1 (2024) 9 pp.] defined a subgroup $H$ of $G$ to be an exponential subgroup if $x^{|G:H|} \in H$ for all $x \in G$, in which case we ...
Eric Swartz, Nicholas J. Werner
doaj   +1 more source

Clinical Models of Care for Adults With Intellectual Disabilities in Forensic Mental Health Services: A Scoping Review

Journal of Intellectual Disability Research, Volume 70, Issue 3, Page 242-261, March 2026.
ABSTRACT Background People with intellectual disabilities (ID) and forensic histories face significant health inequalities, including reduced quality of life and prolonged stays in mental health hospitals. This is a global health issue, and there is an urgent need for evidence‐based specific forensic interventions, models of care and service models to ...
Alina Haines‐Delmont, Dineesha Georgeena Rajan, Sian Cooper, Faye McLoughlin, Sahrish Ali, Katie Goodall, Joy Duxbury, Faith Hurley, Camilla Lindekilde, Michaela Thomson, Rachel Whyte, Erica Hateley, Tella Lantta   +12 more
wiley   +1 more source

Association Between Circulating Androgens and Androgenetic Alopecia in Adult Males: A Systematic Review

Dermatologic Therapy, Volume 2026, Issue 1, 2026.
Purpose To evaluate systemically whether men with androgenetic alopecia (AGA) and controls differ in terms of circulating androgens such as dihydrotestosterone (DHT), total testosterone (TT), sex hormone–binding globulin (SHBG), dehydroepiandrosterone sulfate (DHEA‐S), luteinizing hormone (LH), and follicle‐stimulating hormone (FSH).
Husam Aljamal, Aya Attar, Marah Attar, Rawan Alzubi, Hanan Abo Sameed, Husam Abu Dawood, Hashem Abu Serhan, Suraiya Saleem   +7 more
wiley   +1 more source

Assessing Severity in Anorexia Nervosa Using Alternative Criteria to the DSM‐5 in a Cross‐Sectional Study

International Journal of Eating Disorders, Volume 58, Issue 12, Page 2317-2330, December 2025.
ABSTRACT Objective This study compared overvaluation of weight and shape (OWS), drive for thinness (DT), and their combination (OWS‐DT) as alternative severity classifications for anorexia nervosa (AN) to the fifth edition of the Diagnostic and Statistical Manual of Mental Disorders (DSM‐5) severity classification.
Esther Henriet, Joanna Norton, Maude Seneque, Laurent Maimoun, Philippe Courtet, Sébastien Guillaume   +5 more
wiley   +1 more source